278 research outputs found
Extended Iterative Scheme for QCD: the Four-Gluon Vertex
We study the self-consistency problem of the generalized Feynman rule
(nonperturbatively modified vertex of zeroth perturbative order) for the
4-gluon vertex function in the framework of an extended perturbation scheme
accounting for non-analytic coupling dependence through the Lambda scale.
Tensorial structure is restricted to a minimal dynamically closed basis set.
The self-consistency conditions are obtained at one loop, in Landau gauge, and
at the lowest approximation level (r=1) of interest for QCD. At this level,
they are found to be linear in the nonperturbative 4-gluon coefficients, but
strongly overdetermined due to the lack of manifest Bose symmetry in the
relevant Dyson-Schwinger equation. The observed near decoupling from the
2-and-3-point conditions permits least-squares quasisolutions for given
2-and-3-point input within an effective one-parameter freedom. We present such
solutions for N_F=2 massless quarks and for the pure gluon theory, adapted to
the 2-and-3-point coefficients determined previously.Comment: 46 pages, 11 figure
Extended Iterative Scheme for QCD: Three-point Vertices
In the framework of a generalized iterative scheme introduced previously to
account for the non-analytic coupling dependence associated with the
renormalization-group invariant mass scale Lambda, we establish the
self-consistency equations of the extended Feynman rules (Lambda-modified
vertices of zeroth perturbative order) for the three-gluon vertex, the two
ghost vertices, and the two vertices of massless quarks. Calculations are
performed to one-loop-order, in Landau gauge, and at the lowest approximation
level (r=1) of interest for QCD. We discuss the phenomenon of compensating
poles inherent in these equations, by which the formalism automatically cancels
unphysical poles on internal lines, and the role of composite-operator
information in the form of equation-of-motion condensate conditions. The
observed near decoupling of the four-gluon conditions permits a solution to the
2-and-3-point conditions within an effective one-parameter freedom. There
exists a parameter range in which one solution has all vertex coefficients
real, as required for a physical solution, and a narrower range in which the
transverse-gluon and massless-quark propagators both exhibit complex-conjugate
pole pairs.Comment: 28 pages, 7 figure
The Higgs - photon - Z boson coupling revisited
We analyze the coupling of CP-even and CP-odd Higgs bosons to a photon and a
Z boson in extensions of the Standard Model. In particular, we study in detail
the effect of charged Higgs bosons in two-Higgs doublet models, and the
contribution of SUSY particle loops in the minimal supersymmetric extension of
the Standard Model. The Higgs- coupling can be measured in the decay
+Higgs at colliders running on the Z resonance, or in
the reverse process Higgs with the Higgs boson produced at LHC.
We show that a measurement of this coupling with a precision at the percent
level, which could be the case at future colliders, would allow to
distinguish between the lightest SUSY and standard Higgs bosons in large areas
of the parameter space.Comment: 18 pages LaTex + 7 figures (ps). Typo corrected in eq.(5
The Clean Power Plan: Issues to Watch
Although the Clean Air Act is an imperfect tool for addressing the nation’s greenhouse gas emissions, it is the only available federal mechanism for directly addressing power plant carbon emissions. The Obama Administration’s Clean Power Plan, published in final form in August 2015, tackles the challenge. This paper from the Center for Progressive Reform (CPR) compiles 13 separately authored essays from 11 CPR Member Scholars, each addressing a different topic related to the Clean Power Plan, and each representing the expertise and views of its individual author(s). Published in July 2015, just before the release of the final rule, the essays tee up key questions about the rule’s legality, implications for the energy sector, and a series of discrete implementation questions, including the role of cap-and-trade (and offsets), the nature and distribution of state targets, and implications for environmental justice
The Clean Power Plan: Issues to Watch
Although the Clean Air Act is an imperfect tool for addressing the nation’s greenhouse gas emissions, it is the only available federal mechanism for directly addressing power plant carbon emissions. The Obama Administration’s Clean Power Plan, published in final form in August 2015, tackles the challenge. This paper from the Center for Progressive Reform (CPR) compiles 13 separately authored essays from 11 CPR Member Scholars, each addressing a different topic related to the Clean Power Plan, and each representing the expertise and views of its individual author(s). Published in July 2015, just before the release of the final rule, the essays tee up key questions about the rule’s legality, implications for the energy sector, and a series of discrete implementation questions, including the role of cap-and-trade (and offsets), the nature and distribution of state targets, and implications for environmental justice
Analytic properties of the Landau gauge gluon and quark propagators
We explore the analytic structure of the gluon and quark propagators of
Landau gauge QCD from numerical solutions of the coupled system of renormalized
Dyson--Schwinger equations and from fits to lattice data. We find sizable
negative norm contributions in the transverse gluon propagator indicating the
absence of the transverse gluon from the physical spectrum. A simple analytic
structure for the gluon propagator is proposed. For the quark propagator we
find evidence for a mass-like singularity on the real timelike momentum axis,
with a mass of 350 to 500 MeV. Within the employed Green's functions approach
we identify a crucial term in the quark-gluon vertex that leads to a positive
definite Schwinger function for the quark propagator.Comment: 42 pages, 16 figures, revtex; version to be published in Phys Rev
Probing scalar-pseudoscalar mixing in the CP violating MSSM at high-energy colliders
We study the production processes , and
in the context of the CP violating MSSM. In a given
channel we show that the cross-section for all i (=1,2,3) can be above 0.1 fb
provided M_{H_{2,3}}\la 300 GeV. This should be detectable at a Next Linear
Collider and would provide evidence for scalar-pseudoscalar mixing.Comment: 17 pages, RevTex, 4 ps figures, figure 4 changed, minor modifications
to text, version to appear in PR
Color-Singlet Production at Colliders
We calculate in closed form the complete
color-singlet differential cross section for
scattering. The cross section reduces at high energies to a heavy quark
fragmentation form. We find that the energy scale at which the approximate
fragmentation result becomes reliable exceeds the mass by more than an
order of magnitude. We also discuss the color-singlet model's predictions for
direct angular and energy distributions at CLEO.Comment: 17 pages RevTeX, 5 embedded ps/eps figure
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